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1、8409_Christopher_Titelei_neu.ind1124.04.200709:11:52AdvancedCoursesinMathematicsCRMBarcelonaCentredeRecercaMatemàticaManagingEditor:ManuelCastellet8409_Christopher_Titelei_neu.ind2224.04.200709:11:52ColinChristopherChengzhiLiLimitCyclesofDifferentialEquationsBirkhäuserVerlagB
2、asel·Boston·Berlin8409_Christopher_Titelei_neu.ind3324.04.200709:11:52Authors:ColinChristopherChengzhiLiSchoolofMathematicsandStatisticsSchoolofMathematicalSciencesUniversityofPlymouthBeijingUniversityDrakeCircusBeijing100871Plymouth,PL48AAChinaUKe-mail:licz@pku.edu.cne-mail:
3、c.christopher@plymouth.ac.uk2000MathematicalSubjectClassification34C05,34C07LibraryofCongressControlNumber:2007924803BibliografischeInformationDerDeutschenBibliothekDieDeutscheBibliothekverzeichnetdiesePublikationinderDeutschenNationalbibliografie;detailliertebibliografischeD
4、atensindimInternetüberabrufbar.ISBN978-3-7643-8409-8BirkhäuserVerlag,Basel·Boston·BerlinThisworkissubjecttocopyright.Allrightsarereserved,whetherthewholeorpartofthematerialisconcerned,specificallytherightsoftranslation,reprinting,re-useofillustrations,recit
5、ation,broadcasting,reproductiononmicrofilmsorinotherways,andstorageindatabanks.Foranykindofusepermissionofthecopyrightownermustbeobtained.©2007BirkhäuserVerlag,P.O.Box133,CH-4010Basel,SwitzerlandPartofSpringerScience+BusinessMediaCoverdesign:MichaLotrovsky,4106Therwil,Switzer
6、landPrintedonacid-freepaperproducedfromchlorine-freepulp.TCFÑPrintedinGermanyISBN978-3-7643-8409-8e-ISBN978-3-7643-8410-4987654321www.birkhauser.ch8409_Christopher_Titelei_neu.ind4424.04.200709:11:52ForewordThisbookcontainstwosetsofrevisedandaugmentednotespreparedfortheAdvanc
7、edCourseonLimitCyclesandDifferentialEquationsgivenattheCentredeRecercaMatem`aticainJune2006,aspartofitsyear-longresearchprogrammeonHilbert’s16thproblem.Thecommongoalofthetwosetsofnotesistohelpyoungmathematiciansenteraveryactiveareaofresearchlyingontheborderlinebetweendynamical
8、systems,analysisandapplications.Thefirstpartofthebook,byColinChristop
